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Finding the Third Proportional to 21,742,814 and 46,598,037

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Solution

The third proportional to 21,742,814 and 46,598,037 is: 99,866,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742,814 : 46,598,037 = 46,598,037 : x
  2. Step 2: Convert to fraction form
    21,742,814/46,598,037 = 46,598,037/x
  3. Step 3: Cross multiply
    21,742,814x = 46,598,037 × 46,598,037
  4. Step 4: Simplify right side
    21,742,814x = 2,171,377,052,253,369
  5. Step 5: Solve for x
    x = 2,171,377,052,253,369/21,742,814
  6. Step 6: Final answer
    x = 99,866,422.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.